Problem
Problem of the Day #87
POTD March 5, 2024
3 points A,B,C are randomly chosen on the circumference of a circle. If A,B,C all lie on a semicircle, then the probability that all of the angles of triangle ABC are less than 120^{\circ} can be written as \frac{m}{n}, where m,n are relatively prime positive integers. Find m+n.
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